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Preface .................................................................................................................................................................... xi Acknowledgements ................................................................................................................................................xiv Part I: Foundations 1. Putting Philosophy to Work: Coping With Multiple Theoretical Perspectives ....................................... 3 Paul Cobb, Vanderbilt University 2. Theory in Mathematics Education Scholarship ...................................................................................... 39 Edward A. Silver & Patricio G. Herbst, University of Michigan 3. Method ..................................................................................................................................................... 69 Alan H. Schoenfeld, University of California, Berkeley Part II: Teachers and Teaching 4. Assessing Teachers¿ Mathematical Knowledge: What Knowledge Matters .......................................... 111 and What Evidence Counts? Heather C. Hill, Laurie Sleep, Jennifer M. Lewis, & Deborah Loewenberg Ball, University of Michigan 5. The Mathematical Education and Development of Teachers .............................................................. 157 Judith T. Sowder, San Diego State University 6. Understanding Teaching and Classroom Practice in Mathematics ..................................................... 225 Megan Loef Franke, University of California, Los Angeles Elham Kazemi, University of Washington Daniel Battey, Arizona State University 7. Mathematics Teachers¿ Beliefs and Affect ............................................................................................. 257 Randolph A. Philipp, San Diego State University Part III: Infl uences on Student Outcomes 8. How Curriculum Infl uences Student Learning .................................................................................... 319 Mary Kay Stein, University of Pittsburgh Janine Remillard, University of Pennsylvania Margaret Smith, University of Pittsburgh 9. The Effects of Classroom Mathematics Teaching on Students¿ Learning ........................................... 371 James S. Hiebert, University of Delaware Douglas A. Grouws, University of Missouri 10. Culture, Race, Power, and Mathematics Education .............................................................................. 405 Diversity in Mathematics Education Center for Learning and Teaching 11. The Role of Culture in Teaching and Learning Mathematics ............................................................. 435 Norma G. Presmeg, Illinois State University vIII Part IV: Students and Learning 12. Early Childhood Mathematics Learning ............................................................................................... 461 Douglas H., Clements & Julie Sarama, University at Buffalo, State University of New York 13. Whole Number Concepts and Operations ............................................................................................ 557 Lieven Verschaffel, University of Leuven Brian Greer, Portland State University Erik DeCorte, University of Leuven 14. Rational Numbers and Proportional Reasoning: Toward a Theoretical Framework ......................... 629 for Research Susan J. Lamon, Marquette University 15. Early Algebra .......................................................................................................................................... 669 David W. Carraher, TERC Analucia D. Schliemann, Tufts University 16. Learning and Teaching of Algebra at the Middle School through College Levels: ........................... 707 Building Meaning for Symbols and Their Manipulation Carolyn Kieran, Université du Québec à Montréal 17. Problem Solving and Modeling ............................................................................................................. 763 Richard Lesh, Indiana University Judith Zawejewski, Illinois Institute of Technology 18. Toward Comprehensive Perspectives on the Learning and Teaching of Proof .................................. 805 Guershon Harel, University of California, San Diego Larry Sowder, San Diego State University 19. The Development of Geometric and Spatial Thinking ........................................................................ 843 Michael T. Battista, Michigan State University 20. Research in Probability: Responding to Classroom Realities ............................................................... 909 Graham A. Jones, Griffi th University, Gold Coast Campus Cynthia W. Langrall, & Edward S. Mooney, Illinois State University 21. Research on Statistics Learning and Reasoning ................................................................................... 957 J. Michael Shaughnessy, Portland State University 22. Mathematics Thinking and Learning at Post-secondary Level .......................................................... 1011 Michèle Artigue, Université Paris 7 Carmen Batanero, Universidad de Granada Phillip Kent, University of London Part V: Assessment 23. Keeping Learning on Track: Classroom Assessment and the Regulation of Learning .................... 1051 Dylan Wiliam, Educational Testing Service 24. High Stakes Testing in Mathematics .................................................................................................... 1099 Linda Dager Wilson 25. Large-scale Assessment of Mathematics Education ............................................................................ 1111 Jan DeLange, Freudenthal Institute iX Part VI: Issues and Perspectives 26. Issues in Access and Equity in Mathematics Education ...................................................................... 1145 Alan J. Bishop & Helen J. Forgasz, Monash University 27. Research on Technology in Mathematics Education: The Perspective of Constructs ...................... 1169 Rose Mary Zbiek, M. Kathleen Heid, & Glendon Blume, Pennsylvania State University Thomas P. Dick, Oregon State University 28. Engineering Change in Mathematics Education: Research, Policy, and Practice ............................ 1209 William F. Tate, Washington University in St. Louis Celia Rousseau, University of Memphis 29. Educational Policy Research and Mathematics Education ................................................................ 1247 Joan Ferrini-Mundy & Robert Floden, Michigan State University 30. Mathematics Content Specifi cation in the Age of Assessment .......................................................... 1281 Norman L. Webb, University of Wisconsin, Madison 31. Refl ections on the State and Trends in Research on Mathematics Teaching and Learning: .......... 1293 From Here to Utopia Mogens Niss, Roskilde University About the Contributors ..................................................................................................................................... 1313 Name Index ................................................................................................................................................................ Subject Index .............................................................................................................................................................
Library of Congress Subject Headings for this publication:
Mathematics -- Study and teaching -- Research.